Multiple choice

Two identical cantilever beams are supported as shown, with their free ends in contact through a rigid roller. After the load P is applied, the free ends will have

  1. equal deflections but not equal slopes

  2. equal slopes but not equal deflections

  3. equal slopes as well as equal deflections

  4. neither equal slopes nor equal deflections
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A Correct answer
Explanation

From the figure, we can say that load P applies a force on upper cantilever and the reaction force also applied on upper cantilever by the rigid roller. Due to this, deflections occur in both the cantilever, which are equal in amount. But because of different forces applied by the P and rigid roller, the slopes are unequal.

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